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Finding the Fourth Proportional to 278,129.38, 383,814.84 and 150,802.24

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Solution

The fourth proportional to 278,129.38, 383,814.84 and 150,802.24 is: 208,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,129.38 : 383,814.84 = 150,802.24 : x
  2. Step 2: Convert to fraction form
    278,129.38/383,814.84 = 150,802.24/x
  3. Step 3: Cross multiply
    278,129.38x = 383,814.84 × 150,802.24
  4. Step 4: Simplify right side
    278,129.38x = 57,880,137,617.24
  5. Step 5: Solve for x
    x = 57,880,137,617.24/278,129.38
  6. Step 6: Final answer
    x = 208,105.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.